1.

The position x of a particle at time t is given by : x=(v_(0))/(a)(1-e^(-at)) where v_(0) is a constant and a>0. The dimensional formula of v_(0) and a is :

Answer»

`[M^(0)LT^(-1)]` and `[T^(-1)]`
`[M^(0)LT^(0)]` and `[T^(-1)]`
`[M^(0)LT^(-1)]` and `[T^(-2)]`
`[M^(0)LT^(-1)]` and `[T]`

Solution :Here exponential has no DIMENSION.
THUS `at=M^(0)L^(0)T^(0)`
`a=(1)/(T)=T^(-1)`
Also `v_(0)/(a)=x=L^(1)`or `v_(0)=aL^(1)`
`:.v_(0)=LT^(-1)`
Hence correct CHOICE is `(a)`.


Discussion

No Comment Found

Related InterviewSolutions